The parent function is . After a horizontal stretch by a factor of 3 and a shift left by 2 units, the new function is .
Answer & Analysis
Analysis
Question Analysis
This question evaluates the student's ability to apply horizontal transformations, specifically stretches and shifts.
Key Concept Explanation
The general form of a transformed function is . Here, represents the horizontal stretch or compression, and represents the horizontal shift.
Step-by-step Solution
1. Identify the horizontal stretch: The factor of 3 means (since ), so the function becomes
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